Finding the Third Proportional to 580,323 and 821,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   580,323 : 821,884.50 = 821,884.50 : x
2. Step 2: Convert to fraction form
   580,323/821,884.50 = 821,884.50/x
3. Step 3: Cross multiply
   580,323x = 821,884.50 × 821,884.50
4. Step 4: Simplify right side
   580,323x = 675,494,131,340.25
5. Step 5: Solve for x
   x = 675,494,131,340.25/580,323
6. Step 6: Final answer
   x = 1,163,996.83